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arXiv · 2402.16672

Computable Gelfand Duality

Peter Burton·Christopher J. Eagle·Alec Fox·Isaac Goldbring·Matthew Harrison-Trainor·Timothy H. McNicholl·Alexander Melnikov·Teerawat Thewmorakot
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Abstract

We establish a computable version of Gelfand Duality. Under this computable duality, computably compact presentations of metrizable spaces uniformly effectively correspond to computable presentations of unital commutative $C^*$ algebras.

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Peter Burton, Christopher J. Eagle, Alec Fox, Isaac Goldbring, Matthew Harrison-Trainor, Timothy H. McNicholl, Alexander Melnikov, Teerawat Thewmorakot. 2024-02-26. Computable Gelfand Duality. https://arxiv.org/abs/2402.16672

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